IJEP 39(3): 271-276 : Vol. 39 Issue. 3 (March 2019)
Kirtiwant P. Ghadle and Sachin K. Magar
Dr Babasaheb Ambedkar Marathwada University, Department of Mathematics, Aurangabad – 431 004
In the present research paper, we have used the Sumudu transform to solve the fractional advection-diffusion equation. This type of diffusion equation is most useful to calculate the concentration of pollution and dissolved oxygen in the river water. The caputo fractional derivative to diffusion equation was used and solved though Sumudu transform. These results prove that the Sumudu transform is really useful and applicable for finding solutions to the problems related to the concentration of pollution and dissolved oxygen in the river water.
Sumudu transform, Fractional advection-diffusion equation, Riemann Liouville fractional derivative, Chemical parameters, Water pollution, Mittag-Leffler function